milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpms_fpbg.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
index 7e40bcc6c0b52954e3557a108ba33a018be16319..09a2e9ceb0050e957ae4d28c84684ec7cebd15eb 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_fpbg.ma
@@ -13,17 +13,36 @@
 (**************************************************************************)
 
 include "basic_2/rt_computation/fpbg_fqup.ma".
-include "basic_2/rt_computation/fpbg_fpbs.ma".
+include "basic_2/rt_computation/fpbg_cpxs.ma".
 include "basic_2/rt_computation/cpms_fpbs.ma".
 
 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
 
 (* Forward lemmas with proper parallel rst-computation for closures *********)
 
-lemma fqup_cpms_fwd_fpbg (h) (o): ∀G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T⦄ →
-                                  ∀n,T2. ⦃G2, L2⦄ ⊢ T ➡*[n,h] T2 → ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T2⦄.
-/3 width=5 by cpms_fwd_fpbs, fqup_fpbg,fpbg_fpbs_trans/ qed-.
+lemma cpms_tneqx_fwd_fpbg (h) (n):
+      ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 →
+      (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ > ❪G,L,T2❫.
+/3 width=3 by cpms_fwd_cpxs, cpxs_tneqx_fpbg/ qed-.
 
-lemma cpms_fpbg_trans (h) (o) (n): ∀G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ➡*[n,h] T →
-                                   ∀G2,L2,T2. ⦃G1, L1, T⦄ >[h,o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h,o] ⦃G2, L2, T2⦄.
+lemma fpbg_cpms_trans (h) (n):
+      ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ > ❪G2,L2,T❫ →
+      ∀T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+/3 width=5 by fpbg_fpbs_trans, cpms_fwd_fpbs/ qed-.
+
+lemma cpms_fpbg_trans (h) (n):
+      ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ➡*[h,n] T →
+      ∀G2,L2,T2. ❪G1,L1,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
 /3 width=5 by fpbs_fpbg_trans, cpms_fwd_fpbs/ qed-.
+
+lemma fqup_cpms_fwd_fpbg (h):
+      ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T❫ →
+      ∀n,T2. ❪G2,L2❫ ⊢ T ➡*[h,n] T2 → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+/3 width=5 by cpms_fwd_fpbs, fqup_fpbg, fpbg_fpbs_trans/ qed-.
+
+lemma cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg (h) (G) (L) (T1):
+      ∀n1,T. ❪G,L❫ ⊢ T1 ➡[h,n1] T → (T1 ≛ T → ⊥) →
+      ∀n2,T2. ❪G,L❫⊢ T ➡*[h,n2] T2 → T1 ≛ T2 → ❪G,L,T1❫ > ❪G,L,T1❫.
+#h #G #L #T1 #n1 #T #H1T1 #H2T1 #n2 #T2 #H1T2 #H2T12
+/4 width=7 by cpms_fwd_fpbs, cpm_fpb, fpbs_teqx_trans, teqx_sym, ex2_3_intro/
+qed-.